Question

How to solve further

Answer 1

Answer:

Step-by-step explanation:

2^x-7 × 5 ^x+4 =125

⇒2^x-7 = 5³/5^x+4

⇒2^x-7 = 5^-(x+1)

⇒2^x-7 = 1/5^x+1

⇒2^x-7 × 5^x+1 = 1

⇒2^x/2^7 × 5^x × 5 = 1

⇒2^x × 5^x × 5 = 2^7

⇒10^x = 2^7/5

apply log on both sides

⇒x㏒10 = ㏒2^7/5

⇒x = ㏒2^7/5

hope you understand